2166167120 has 40 divisors (see below), whose sum is σ = 5423751816. Its totient is φ = 799815168.

The previous prime is 2166167119. The next prime is 2166167177. The reversal of 2166167120 is 217616612.

It can be written as a sum of positive squares in 4 ways, for example, as 147282496 + 2018884624 = 12136^2 + 44932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040387 + ... + 1042466.

Almost surely, 2^2166167120 is an apocalyptic number.

2166167120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166167120 is an abundant number, since it is smaller than the sum of its proper divisors (3257584696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2166167120 is a wasteful number, since it uses less digits than its factorization.

2166167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082879 (or 2082873 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2166167120 is about 46542.1005112575. The cubic root of 2166167120 is about 1293.8898910710.

The spelling of 2166167120 in words is "two billion, one hundred sixty-six million, one hundred sixty-seven thousand, one hundred twenty".